Grade 12 Calculus University

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Determine if the planes are parallel.

[x,y,z] = [1,2,2] + s[0,-1,0] + t[0,0,1]

[x,y,z] = [1,0,-3] + s[0,0,1] + t[-1,0,0]

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  • Grade 12 Calculus University -

    Find a normal to the first plane, and a normal to the second plane.
    If the two normals are scalar multiples of each other, then the planes are parallel.

    or

    try to find their intersection, if you can find a solution, then they are obviously not parallel

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